Question

factor the polynomial. all factors in your answer should have integer coefficients. 5000t⁴ - 135t =

Explanation:

Step1: Factor out GCF

$5000t^4 - 135t = 5t(1000t^3 - 27)$

Step2: Apply difference of cubes

$1000t^3 - 27 = (10t)^3 - 3^3 = (10t - 3)(100t^2 + 30t + 9)$

Step3: Combine factors

$5t(10t - 3)(100t^2 + 30t + 9)$

Answer:

$5t(10t - 3)(100t^2 + 30t + 9)$